{"id":2012,"date":"2012-06-19T18:19:57","date_gmt":"2012-06-19T18:19:57","guid":{"rendered":"http:\/\/SchoolTutoring.com\/help\/?p=2012"},"modified":"2014-12-02T08:33:43","modified_gmt":"2014-12-02T08:33:43","slug":"3d-spaces-addition-and-subtraction-in-cubic-areas","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/3d-spaces-addition-and-subtraction-in-cubic-areas\/","title":{"rendered":"3D Spaces: Addition and Subtraction in Cubic Areas"},"content":{"rendered":"

Sum of cubes:<\/span><\/strong><\/p>\n

We can factorize an expression involving sum of cubes using the following formula.<\/p>\n

a3<\/sup> + b3<\/sup> = (a+b) (a2<\/sup> \u2013 ab + b2<\/sup>)<\/p>\n

Example 1:<\/strong><\/p>\n

Factorize the expression x3<\/sup> + 8.<\/p>\n

Solution:<\/strong><\/p>\n

x3<\/sup> + 8 = x3<\/sup> +23<\/sup><\/p>\n

Here a=x and b= 2.<\/p>\n

Using the above formula,<\/p>\n

x3<\/sup> +23<\/sup> = (x+2) (x2<\/sup> \u2013 x*2 + 22<\/sup>) = (x+2) (x2<\/sup> \u2013 2x + 4)<\/p>\n

Example 2:<\/strong><\/p>\n

Factorize the expression 3x3<\/sup> + 81.<\/p>\n

Solution:<\/strong><\/p>\n

3x3<\/sup> + 81 = 3(x3<\/sup> + 27) = 3(x3<\/sup>+33<\/sup>) = 3(x+3) (x2<\/sup> \u2013 3x + 9) (By using the above formula).<\/p>\n

Difference of cubes:<\/span><\/strong><\/p>\n

We can factorize an expression involving difference of cubes using the following formula.<\/p>\n

a3<\/sup> – b3<\/sup> = (a-b) (a2<\/sup> + ab + b2<\/sup>)<\/p>\n

Example 1:<\/strong><\/p>\n

Factorize the expression x3<\/sup> – 8.<\/p>\n

Solution:<\/strong><\/p>\n

x3<\/sup> – 8 = x3<\/sup> – 23<\/sup><\/p>\n

Here a=x and b= 2.<\/p>\n

Using the above formula,<\/p>\n

x3<\/sup> – 23<\/sup> = (x-2) (x2<\/sup> + x*2 + 22<\/sup>) = (x-2) (x2<\/sup> + 2x + 4)<\/p>\n

Example 2:<\/strong><\/p>\n

Factorize the expression 3x3<\/sup> – 81.<\/p>\n

Solution:<\/strong><\/p>\n

3x3<\/sup> – 81 = 3(x3<\/sup> – 27) = 3(x3<\/sup>-33<\/sup>) = 3(x-3) (x2<\/sup> + 3x + 9) (By using the above formula).<\/p>\n

 <\/p>\n

SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in California visit: Tutoring in Madera<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Sum of cubes: We can factorize an expression involving sum of cubes using the following formula. a3 + b3 = (a+b) (a2 \u2013 ab + b2) Example 1: Factorize the expression x3 + 8. Solution: x3 + 8 = x3 +23 Here a=x and b= 2. Using the above formula, x3 +23 = (x+2) (x2 […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2,4,10],"tags":[22,24,51,52,128,129,130,439,440,494,1763,1764,1774],"class_list":["post-2012","post","type-post","status-publish","format-standard","hentry","category-algebra","category-calculus","category-geometry","tag-3d-math","tag-3d-figures","tag-addition-area","tag-addition-cubes","tag-area","tag-area-differences","tag-area-of-3d-figures","tag-cubes","tag-cubic-area","tag-difference","tag-subtraction-area","tag-subtraction-cubes","tag-sum"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/2012","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=2012"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/2012\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=2012"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=2012"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=2012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}